"""
Field operations implementation for PDEJulia.jl
"""

# Mathematical operations on fields
function integrate(field::AbstractDataField)
    g = grid(field)
    vol_element = volume(g) / length(g)
    return sum(data(field)) * vol_element
end

function norm(field::AbstractDataField, p::Real = 2)
    if p == 2
        return sqrt(integrate(field * field))
    elseif p == 1
        abs_field = abs.(data(field))
        return integrate(ScalarField(abs_field, grid(field)))
    elseif isinf(p)
        return maximum(abs.(data(field)))
    else
        powered = abs.(data(field)).^p
        integral = integrate(ScalarField(powered, grid(field)))
        return integral^(1/p)
    end
end

function get_extrema(field::ScalarField)
    d = data(field)
    return (minimum(d), maximum(d))
end

function get_statistics(field::ScalarField)
    d = data(field)
    return (
        min = minimum(d),
        max = maximum(d), 
        mean = sum(d) / length(d),
        integral = integrate(field)
    )
end

# Interpolation functions
function interpolate(field::ScalarField, points::Vector{<:AbstractVector})
    # Simple nearest-neighbor interpolation
    g = grid(field)
    results = Float64[]
    
    for point in points
        # Convert point to grid indices
        idx = index(g, point)
        # Round to nearest integer indices
        rounded_idx = round.(Int, idx)
        
        # Clamp to valid range
        clamped_idx = max.(1, min.(rounded_idx, collect(size(g))))
        
        # Get value
        value = data(field)[clamped_idx...]
        push!(results, value)
    end
    
    return results
end

# Apply operators
function apply_operator(op::Function, field::AbstractDataField)
    return op(field)
end

function apply_boundary_conditions!(field::AbstractDataField, bcs)
    # Placeholder - would apply boundary conditions
    return field
end